Testing the conditions, we get that [tex]np = 58 \geq 10[/tex] and [tex]n(1 - p) = 42 \geq 10[/tex], thus, this binomial experiment can be approximated using a normal distribution.
For each person sampled, there are only two possible outcomes. Either they believe in Hell, or they do not. The probability of a person believing in hell is independent of any other person, which means that the binomial distribution is used to solve this question.
Binomial distribution:
Probability of x successes on n trials, with p probability.
If [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex], it can be approximated to the normal distribution.
In this problem:
Sample of size 100, thus [tex]n = 100[/tex].58% believe in Hell, thus [tex]p = 0.58[/tex].Then
[tex]np = 100(0.58) = 58 \geq 10[/tex]
[tex]n(1 - p) = 100(0.42) = 42 \geq 10[/tex]
[tex]np = 58 \geq 10[/tex] and [tex]n(1 - p) = 42 \geq 10[/tex], thus, this binomial experiment can be approximated using a normal distribution.
A similar problem is given at https://brainly.com/question/24261244
2x=14−2
Find the value of x
Don't give wrong answer
Answer:
[tex]\sf\longmapsto \: x = 6[/tex]
Step-by-step explanation:
[tex]\sf\longmapsto \: 2x = 14 - 2[/tex]
[tex]\sf\longmapsto \: 2x = 12[/tex]
[tex]\sf\longmapsto \: x = \frac{12}{2} [/tex]
[tex]\sf\longmapsto \: x = 6[/tex]
Answer:
x = 6
Step-by-step explanation:
Hey there,
[tex]2x =14-2\\2x=12\\\frac{2x}{2}=\frac{12}{2} \\x = 6[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
4-8m=-8-5m what is m
Answer:
-9m-4
Step-by-step explanation:
Move the -4 to the right hand side by adding 4 to both sides, like this: To the left hand side:
-4 + 4 = 0
9m ‹ 5m
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean = 87 and standard deviation = 25. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.)
(a) x is more than 60
(b) x is less than 110
(c) x is between 60 and 110
(d) x is greater than 125 (borderline diabetes starts at 125)
Using the normal distribution, it is found that:
a) 0.8599 = 85.99% probability that x is more than 60.
b) 0.1788 = 17.88% probability that x is less than 110.
c) 0.6811 = 68.11% probability that x is between 60 and 110.
d) 0.0643 = 6.43% probability that x is greater than 125.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 87, thus [tex]\mu = 87[/tex].The standard deviation is of 25, thus [tex]\sigma = 25[/tex].Item a:
This probability is 1 subtracted by the p-value of Z when X = 60, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60 - 87}{25}[/tex]
[tex]Z = -1.08[/tex]
[tex]Z = -1.08[/tex] has a p-value of 0.1401.
1 - 0.1401 = 0.8599
0.8599 = 85.99% probability that x is more than 60.
Item b:
This probability is the p-value of Z when X = 110, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{110 - 87}{25}[/tex]
[tex]Z = 0.92[/tex]
[tex]Z = 0.92[/tex] has a p-value of 0.8212.
1 - 0.8212 = 0.1788.
0.1788 = 17.88% probability that x is less than 110.
Item c:
This probability is the p-value of Z when X = 110 subtracted by the p-value of Z when X = 60.
From the previous two items, 0.8212 - 0.1401 = 0.6811.
0.6811 = 68.11% probability that x is between 60 and 110.
Item d:
This probability is 1 subtracted by the p-value of Z when X = 125, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{125 - 87}{25}[/tex]
[tex]Z = 1.52[/tex]
[tex]Z = 1.52[/tex] has a p-value of 0.9357.
1 - 0.9357 = 0.0643.
0.0643 = 6.43% probability that x is greater than 125.
A similar problem is given at https://brainly.com/question/24863330
find perimeter and area
Answer:which one
Step-by-step explanation: which one 50
HELP WILL GIVE BRANLIEST
The highest recorded temperature in Yuma, Arizona, was about 51 degrees C and the lowest recorded temperature was about 11 degrees C
Whats the difference between the highest and lowest temperatures?
Step-by-step explanation:
Definition of temperature:
The tendency of a substance or an object to transfer heat to its surroundings.
Definition of the thermodynamic temperature:
The Kelvin, unit of thermodynamic temperature, is the fraction 1/273.16 of the thermodynamic temperature of the triple point of water
Please help what is 399/20 simplified
Answer:
19 19/20 in fraction
19.95 as a decimal
Step-by-step explanation:
Answer:
19 and 19/20
Step-by-step explanation:
The bar in a fraction stands for dividing
so you divide 399 by 20 which is 19 and 19 remainder
you turn the remainder into a fraction and the number into a whole number
Divide x4+2x2−24
by x+2
[tex]\begin{array}{c|c}_{-}\ x^4+2x^2-24 &\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\! \underline{ x+2 } \\ \!\!\!\!\!\!\!\!\!\!\! \underline{x^4+2x^3}& x^3-2x^2+4x-8 \\{ \big{_{-}}}-2x^3-24& \\\underline{-2x^3-4x^2}& \\ _{-} \ 4x^2-24 & \\ \underline{4x^2+8x}& \\ _{-}-8x-24& \\ \underline{-8x-16} & \\ -8 &\end {array }[/tex]
[tex]\displaystyle \frac{x^4+2x^2-24}{x+2} =x^3-2x^2+4x-8 -\frac{8}{x+2}[/tex]
The mean of the numbers 15, 21, 17.26. 18,29
is 21. Calculate the standard deviation of the
numbers
Answer:
6
Step-by-step explanation:
=15+21+17+26+18+29/
/ 21
=126/21
=6
Evaluate 2x2y3 when x=2\3 and y=1\2
Answer:
The answer is 4
Step-by-step explanation:
2(2/3)2(1/2)3
b) Raj bought $3.63 worth of raisins.
What was the mass in grams? Give two
possible answers.
Answer:
how much is 1 gram of raisins worth in money
Step-by-step explanation:
Answer:
How much of 1 gram of raisin was worth in money
I have more question just don't get it wronge
Answer:
Relfection over the x axis
Step-by-step explanation:
It is the name shape but flipped onto the other side, therefore it is a reflection
253 19/26 rounded to the nearest ten
Answer:
250
Step-by-step explanation:
As a decimal 253 and 19/23 can be written as 253.73
If we think about 253.73 being closer to 250 or 260, we can see that it is closer to 250, so that is the nearest ten we will round to.
Even if it is too difficult to convert to a decimal, if we round 19/23 to 23/23, our number becomes 254. The nearest ten is still 250.
Box method sixty three
times thirty nine
Answer:
6237
Step-by step explanation
60 x 30 = 1800
30x3=90
9x60=540
9x3=27
1800+90+540+27=6237
Explain why rational numbers are "friendly."
Answer:
What makes a number friendly?
In number theory, friendly numbers are two or more natural numbers with a common abundancy index, the ratio between the sum of divisors of a number and the number itself. Two numbers with the same "abundancy" form a friendly pair; n numbers with the same "abundancy" form a friendly n-tuple.
Step-by-step explanation:
PLEASE HELP WITH THIS ONE QUESTION
Step-by-step explanation:
thanks for the 5 points
......
HELPPP!!! WILL MARK BRAINLIEST!!!
Graphing Asymptotes for Rational Functions
Two copies of the same Rational Functions are shown below.
On the graph on the left, draw the Horizontal Asymptote and write the equation for the horizontal asymptote underneath.
On the graph on the right, draw the Vertical Asymptote and write the equation for the Vertical Asymptote underneath.
Answer:
Horizontal Asymptote: y=2
Vertical Asymptote: x=3
Step-by-step explanation:
One way: Look at graph
Look at for a horizontal or vertical line that both lines don't touch.
Second Way:
When you look for vertical asymptotes, you set the denominator equal to zero and solve.
For example, the second question has a denominator of x-3.
x-3=0
x=3 (This is the vertical asymptote)
When you look for horizontal asymptote, you do long division.
For example, the first question [tex]f(x)=\frac{2x}{x-3}[/tex]
The answer will be 2. 2 is the quotient. You only want quotient not remainder.
y=2.
Identify the property being shown here, assuming that a + 2 = y.
(a + 2)/3 = y/3
Assuming that a + 2 = y, the property that was applied to arrived at (a + 2)/3 = y/3 is the: division property of equality.
Recall:
What is done to both sides of an equation will determine what property of equality was applied to the equation.
Thus, given the equation:a + 2 = y
The following was obtained:(a + 2)/3 = y/3
Observing the equation stated above, we will see that both sides of the equation was divided by three. This makes both sides equal.
Therefore, assuming that a + 2 = y, the property that was applied to arrived at (a + 2)/3 = y/3 is the: division property of equality.
Learn more here:
https://brainly.com/question/13260378
8/3 * (-2 1/2) the product is
Answer:
-28
Step-by-step explanation:
You have to do the parenthesis 1st, then the [tex]\frac{8}{3}[/tex], and multiply the result :D
class 6 MATHS! is this correct???
Answer:
yes Bro it is correct ar u writing an exam
A grocery store offers its customers A discount card that gives 15% off all purchases, p. The card costs $12 a year. What amount would a customer need to purchase each year to save money?
Step-by-step explanation:
customer need to purchase each year to save money = 100/15 × $12
= 1200/15
= $80
Answer:
More than $80Step-by-step explanation:
To save money, the customer needs to save the cost of the card first.
Solve it by ratios:
15% = 12100% = xSolve for x:
15x = 12*100x = 1200/15x = 80Tara bought 4 kg of walnuts for $7.85 per kg and 4 kg of almonds for $7.77 per kg. He gave the cashier a $100 bill. What should Tara get back in change?
Answer:
$37.52
Step-by-step explanation:
-3/5 is greater than or less than -4/5
-3/5 is greater than -4/5
Step-by-step explanation:
If they were just regular positive numbers then yes, it would be less than -4/5. However since they are negative for this I will switch them to decimals, . -.60 is more an -.80 because it is basically like a dept you owe.
Mr. Hernandez divided 30 large cookies onto 4 plates. How many cookies are on each plate?
Answer:
seven and a half
Step-by-step explanation:
Help me with my math, please
A.
All of the expressions are in simplest form.
B.
All of the expressions result in a terminating decimal.
C.
All of the expressions result in a rational number.
D.
All of the expressions result in an irrational number.
Answer:
b
Step-by-step explanation:
pls mark me as brainliest pls
Distance from earth to the moon is 238,900 . From earth to the sun is 92935,700 ,about how many times the distance from earth to the moon is distance from earth to the sun
Answer: the sun is 389.015069067 times further away from earth to the moon
Step-by-step explanation: 92935700/238990=389.015069067
What is the range of the given function ?
Answer:
6740
Step-by-step explanation:
Answer:
There is no function provided
FYI
Domian is all x-values
range is all y-values
For ex..
(-3,6)
-3 is domain
6 is range
Step-by-step explanation:
Chords and Arcs - Guided Practice
Dents
#2 - The radius of ON is 18, NK = 9, and mpe - 120. Find each measure.
N
X
E
D
Н
Type in your answer for each measure in each box. (DO NOT include any symbols or letters.)
A: MCE =
B. mZHEN = 30
C. mZHNE =
units
D: HN = 9
9
N
ch
Answer:
Step-by-step explanation:
A) 120 / 2 = 60°
B) 180 - 90 60 = 30°
C) 60° same as arc length GE in part A above
D) 9 units = Rsinθ = 18sin30
!!!25 Points HELP ME PLS ASAP
Answer:
$4.03
Step-by-step explanation:
because 15% of 3.50 is 0.525
take 0.525 and round it up (0.53)
3.50 + 0.53 = $4.03
Answer:
$4.03
Step-by-step explanation:
there are two ways to work this problem:
a) find out what 15% of 3.50 and add it to 3.50; requires two steps
b) multiply 3.50 and 1.15 which will give you the answer in one step
Solutions:
a) 3.5 × .15 = 0.5250 which is 0.53 rounded to the nearest penny
now add 3.50 and 0.53 to get 4.03
b) multiply 3.50 and 1.15 to get 4.025 and round to 4.03